Atlas1,217 of 3,942

I.B.31

m₃ = 0.75

From Li & Liao (2017)

I.B.31 m₃ = 0.75 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.75 that return to their starting positions and velocities every 84.997 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 54.34), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000989 of each other at a top speed of 34, line up 104 times a period, and the computed loop closes to 5.4×10⁻²⁶.

Measured over one period

Period: 84.99724614
Masses: 1 : 1 : 0.75
Energy: -1.24004
Angular momentum: 0
Closest approach: 9.9×10⁻⁴
Top speed: 33.99
Path length: 205.83
Alignments per period: 104
Topology: abaBAbabABabABAbaBAbabABabABAbaBAbabABabaBAbaBABabABabaBAbaBABabAB (free-group class)
Stability: unstable (|λ|max 54.34)
Loop closure: 5.4×10⁻²⁶

Neighbours on the map

All I.B orbits, the families of periodic three-body orbits, or the atlas map.